Regensburg 2013 – wissenschaftliches Programm

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 45: Colloids and Complex Liquids II

CPP 45.12: Vortrag

Donnerstag, 14. März 2013, 18:15–18:30, H40

Fluids in extreme confinement — •Thomas Franosch¹, Simon Lang¹, and Rolf Schilling² — ¹Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstraße 7, 91058, Erlangen, Germany — ²Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany

For extremely confined fluids with two-dimensional density n in slit geometry of accessible width L, we prove that in the limit L→ 0 the lateral and transversal degrees of freedom decouple, and the latter become ideal-gas-like [1]. For small wall separation the transverse degrees of freedom can be integrated out and renormalize the interaction potential. We identify n L² as hidden smallness parameter of the confinement problem and evaluate the effective two-body potential analytically, which allows calculating the leading correction to the free energy exactly. Explicitly, we map a fluid of hard spheres in extreme confinement onto a 2d-fluid of disks with an effective hard-core diameter and a soft boundary layer [1]. Two-dimensional phase transitions are robust and the transition point experiences a shift O(n L²).

[1] Thomas Franosch, Simon Lang, and Rolf Schilling, Phys. Rev. Letter (2012) in press